Ders Adı Kodu Yarıyıl T+U Saat Kredi AKTS
Mathematıcs II MAT 112 2 4 + 0 4 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Lisans
Dersin Türü Zorunlu
Dersin Koordinatörü Prof.Dr. MEHMET ALİ GÜNGÖR
Dersi Verenler Prof.Dr. SELMA ALTUNDAĞ, Prof.Dr. SOLEY ERSOY, Doç.Dr. MURAT SARDUVAN, Prof.Dr. MAHPEYKER ÖZTÜRK, Prof.Dr. MURAT GÜZELTEPE, Prof.Dr. MAHMUT AKYİĞİT, Doç.Dr. YALÇIN YILMAZ, Prof.Dr. ÖMER FARUK GÖZÜKIZIL, Prof.Dr. METİN BAŞARIR, Prof.Dr. MEHMET ÖZEN, Prof.Dr. REFİK KESKİN, Dr.Öğr.Üyesi MEHMET GÜNER, Prof.Dr. MEHMET ALİ GÜNGÖR, Doç.Dr. AYNUR ŞAHİN, Doç.Dr. HİDAYET HÜDA KÖSAL, Dr.Öğr.Üyesi EMİNE ÇELİK,
Dersin Yardımcıları

Research Assistants in mathematics department

Dersin Kategorisi Alanına Uygun Temel Öğretim
Dersin Amacı

To teach indefinite integral, methods of indefinite integral, Characteristics of the integral, Theorems related with the Riemann integral, Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their characteristics, functions of several variables.

Dersin İçeriği

Indefinite integral and methods for calculating integrals, Properties of definite intagral and related theorems, applications of definite integral (calculating Area, arc length, volume, surface area), Generalized integrals and their properties, multi-variable functions.

# Ders Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 He/ she recognizes the concept of the indefinite integral. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 He/ she applies the integral methods Lecture, Drilland Practice, Problem Solving, Testing, Homework,
3 He/ she recognizes the definite integral . Lecture, Drilland Practice, Problem Solving, Testing, Homework,
4 He/ she recognizes the generalized integrals. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
5 He/ she interprets the properties of the generalized integrals. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 He/she recognizes functions of several variables. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
7 He/she solves limit and continuity at the function of several variables. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
8 Lecture, Drilland Practice, Problem Solving, Testing, Homework,
9 Lecture, Drilland Practice, Problem Solving, Testing, Homework,
10 Lecture, Drilland Practice, Problem Solving, Testing, Homework,
11 Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Hafta Ders Konuları Ön Hazırlık
1 Indefinite integrals, methods of integrals, changing variables.
2 Partial integration method. Integral of rational functions.
3 Integral of trigonometrical expressions.
4 Integral of Irrational algebraic functions, Binom integrals Various changing variables.
5 Concept of definite integral. The problems of causing definite integral. Definition of definite integral.
6 Calculation of definite integral with the help of its definition. Proof of basic integration rules.
7 Basic theorİes of integral calculation. Changing variables methods in definite integral.
8 Partial integration method for definite integrals. Integral of some special defined functions.
9 Calculation of area,
10 Calculation of volume with definite integral
11 Calculation of volume with definite integral
12 Calculation of length of arc, Computation of surface area of rotated objects.
13 Generalized integrals.
14 Calculation of area and volume with generalized integral.
Kaynaklar
Ders Notu

Lecture Notes

Ders Kaynakları

[1] Thomas, G.B., Thomas Calculus, 11.baskı, çeviri:Recep Korkmaz, Beta Basım, 2010.
[2] Kadıoğlu, E., Kamali, M., Genel Matematik, Kültür Eğitim Vakfı, 2009.
[3] Can, M., Yüksek Matematik 1, Literatür, 2009.
[4] Balcı, M., Genel Matematik 1, Sürat Yayınları, 2012.

Sıra Program Çıktıları Katkı Düzeyi
1 2 3 4 5
1 Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledgein these areas in complex engineering problems. X
2 Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. X
3 Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.
4 Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
5 Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
6 Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7 Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.
8 Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9 Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
10 Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11 Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
Değerlendirme Sistemi
Yarıyıl Çalışmaları Katkı Oranı
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
3. Kısa Sınav 10
Toplam 100
1. Yıl İçinin Başarıya 50
1. Final 50
Toplam 100
AKTS - İş Yükü Etkinlik Sayı Süre (Saat) Toplam İş Yükü (Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 10 10
Quiz 2 2 4
Assignment 1 10 10
Final examination 1 10 10
Toplam İş Yükü 162
Toplam İş Yükü / 25 (Saat) 6,48
Dersin AKTS Kredisi 6